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Finding the Fourth Proportional to 261.71, 390.28 and 247.34

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Solution

The fourth proportional to 261.71, 390.28 and 247.34 is: 368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.71 : 390.28 = 247.34 : x
  2. Step 2: Convert to fraction form
    261.71/390.28 = 247.34/x
  3. Step 3: Cross multiply
    261.71x = 390.28 × 247.34
  4. Step 4: Simplify right side
    261.71x = 96,531.86
  5. Step 5: Solve for x
    x = 96,531.86/261.71
  6. Step 6: Final answer
    x = 368.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.